﻿using System;
using System.Collections.Generic;

namespace ProblemsSet
{
    public class Problem_43 : BaseProblem
    {
        public override object GetResult()
        {
            var val = new List<string>();
            MathLogic.FormeString(ref val, "", "0123456789", int.MaxValue);
            long summ = 0;
            foreach (var s in val)
            {
                var d = Convert.ToInt32(s.Substring(1, 3));
                if (d % 2 != 0) continue;
                d = Convert.ToInt32(s.Substring(2, 3));
                if (d % 3 != 0) continue;
                d = Convert.ToInt32(s.Substring(3, 3));
                if (d % 5 != 0) continue;
                d = Convert.ToInt32(s.Substring(4, 3));
                if (d % 7 != 0) continue;
                d = Convert.ToInt32(s.Substring(5, 3));
                if (d % 11 != 0) continue;
                d = Convert.ToInt32(s.Substring(6, 3));
                if (d % 13 != 0) continue;
                d = Convert.ToInt32(s.Substring(7, 3));
                if (d % 17 != 0) continue;
                summ += Convert.ToInt64(s);
            }
            return summ;
        }

        public override string Problem
        {
            get
            {
                return @"The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.

Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:

d2d3d4=406 is divisible by 2
d3d4d5=063 is divisible by 3
d4d5d6=635 is divisible by 5
d5d6d7=357 is divisible by 7
d6d7d8=572 is divisible by 11
d7d8d9=728 is divisible by 13
d8d9d10=289 is divisible by 17
Find the sum of all 0 to 9 pandigital numbers with this property.";
            }
        }

        public override bool IsSolved
        {
            get
            {
                return true;
            }
        }

        public override object Answer
        {
            get
            {
                return 16695334890;
            }
        }
    }
}
